Bound of automorphisms of projective varieties of general type

Abstract

We prove that there exists a positive number $C_n$ depending only on $n$ such that for every smooth projective $n$-fold of general type $X$ defined over {\bf C}, the automorphism group $Aut(X)$ satisfies the inequality $♯Aut(X)\le C_n\cdot \mu (X,K_X)$, where $\mu (X,K_X)$ is the volume of $X$ with respect to $K_X$.

arXiv comment24pages

References in corpus (1)

• Finite Generation of Canonical Rings

Cited by in corpus (2)

• Effective finiteness theorems for maps between canonically polarized compact complex manifolds
• On the birational automorphisms of varieties of general type